Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280bp |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-3355872768000 = -1 · 212 · 311 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,88112] |
[a1,a2,a3,a4,a6] |
j |
1124864/1123875 |
j-invariant |
L |
2.4815560532491 |
L(r)(E,1)/r! |
Ω |
0.62038901361226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53280n1 106560cr1 17760i1 |
Quadratic twists by: -4 8 -3 |